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Lecture18

# Lecture18 - Announcements Thisweek Topics PredatorPreyModel...

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Announcements This week: Topics: ‐ Predator‐Prey Model ‐ Mul:variable Calculus (notes available on our webpage in the “Supplementary Notes” sec:on) ‐ Introduc:on to Func:ons of Several Variables (Basic Defini:ons and Nota:on) ‐ Graphs of Func:ons of Several Variables Work on: ‐ Assignment 6 ‐ Prac:ce Problems Set 7

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Predator‐Prey Model Previously, we studied a variety of models for the growth of a single species that lives alone in an environment. Now, we will consider two species interac:ng in the same habitat. One species, called the prey , has an ample food supply and the second species, call the predator , feeds on the prey.
Predator‐Prey Model For example, consider a popula:on of rabbits (prey) and wolves (predators) in an isolated forest. Let R ( t ) = # rabbits at time t W ( t ) = # wolves at time t Two dependent variables, both func:ons of :me

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Predator‐Prey Model Assump&on 1 : Without predators, prey will grow exponen:ally.
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Lecture18 - Announcements Thisweek Topics PredatorPreyModel...

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